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Related Questions
State the slope and the y-intercept of each given graph plz help i really dont know how to do this
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For graph 2, the y-intercept is (0,4) and the slope is -1.
For graph 3, the y-intercept is (0,-4) and the slope is -2.
For graph 4, the y-intercept is (0,-3) and the slope is 3/2.
For graph 5, the y-intercept is (0,4) and the slope is 2.
For graph 6, the y-intercept is (0,3) and the slope is -3/2.
(By the way, since the graphs aren't labeled as numbers, I went from left to right, and then down, and then left to right again).
Now, here's the explanation:
Solving for y-intercept is easier than it sounds. All you need to do is mark the point where the line crosses the y-axis (vertical axis).
Solving for slope is just rise/run. For example, in graph one, the points on the line went up one and then to the right one.
So, 1/1 = 1.
When a slope moves down or to the left, it will be negative. However, that's only if the rise OR run is down/left. If both are negative, the two will cancel each other out to make a positive.
Hope this helped!!
Can someone please solve this?
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[tex]\bf \begin{cases} x=3\implies &x-3=0\\ x=2\implies &\begin{cases} x-2=0\\ x-2=0\\ x-2=0 \end{cases} \end{cases} \\\\\\ (x-3)(x-2)~~(x-2)(x-2)=\textit{original polynomial} \\\\\\ (x^2-5x+6)~~(x^2-4x+4)=y \\\\\\ x^4-4x^3+4x^2-5x^3+20x^2-20x+6x^2-24x+24=y \\\\\\ 1x^4-9x^3+30x^2-44x+24=y[/tex]
What is the solution set of the equation
X^2+3x-4=6
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Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation bAnswer:
Step-by-step explanation:Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation b
Write the equation for the following relation. Include all of your work in your final answer. Submit your solution. P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12), . . .}
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The general equation for linear equations is : y = mx + c where m is the slope and c is the y-intercept
To get the slope, we will need to use two points. Let's take the first and the last points: (1,0) and (4,12)
The slope is calculated as: (y2-y1) / (x2-x1)
Use the chosen points to substitute in the equation and get the slope as follows:
m = (12-0) / (4-1) = 12/3 = 4
Now, the equation of the line became: y = 4x + c
The given points all satisfy the equation of the line, we can use any of them to substitute in the equation and get the value of c.
For instance, I will use the first point: (1,0)
y = 4x + c
0 = 4(1) + c
c = -4
The equation of the line is:
y = 4x - 4
Stuck on this question. Any help would be appreciated.
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10-2h
r = --------------
5
(10-2h)^2
Then r^2 = ----------------
25
Substitute this r and this r^2 into the first equation and simplify. This will result in a formula for V as a function of h (V in terms of h).
How many times dose 63 go into 272? THANK YOU SO MUCH FOR ANSWERING,IF YOU DID!!!!!!!
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Now, it is just division, and we can divide the two numbers to get 4.317...
However, the question only asks for how many times 63 goes into 272, so the answer would be that 63 goes into 272 four times. Hope this helps and have an awesome day!
Plot the x- and y-intercepts to graph the equation. y=−12x−3
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y-intercept: (0, -3)
Keywords
x-intercept, y-intercept, linear equation, graphing tool
we know that
The y-intercept is the value of y when the value of x is equal to zero
The x-intercept is the value of x when the value of y is equal to zero
In this problem we have
[tex]y=-12x-3[/tex]
Step 1
Find the x-intercept
For [tex]y=0[/tex]
find the value of x
[tex]0=-12x-3[/tex]
[tex]12x=-3[/tex]
[tex]x=-0.25[/tex]
The x-intercept is the point [tex](-0.25,0)[/tex]
Step 2
Find the y-intercept
For [tex]x=0[/tex]
find the value of y
[tex]y=-12*0-3[/tex]
[tex]y=-3[/tex]
The y-intercept is the point [tex](0,-3)[/tex]
Step 3
With the point [tex](-0.25,0)[/tex] and the point [tex](0,-3)[/tex]
Plot the linear equation
Using a graphing tool
see the attached figure
therefore
the answer in the attached figure
The ordered pair (2, 1) is a solution of a direct variation equation. Write the equation and identify the constant of variation.
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if today is wednsday what day will it be in 100 days and why
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We know that every week (every seven days) it will be Wednesday if today is Wednesday. So, how may weeks are in 100 days? 14. Why? Because 14(7) = 98. So, in order to get to 100 we must add 2. So what is Wednesday plus two more days? Friday. So if today is Wednesday it will be Friday in 100 days. Why? Well, that's how our calendar is set up.
how many square inches does an "11x13" area encompass
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Answer:
143 square inches
Step-by-step explanation:
The area of encompass is given by 11 * 13 inches.
Here the length = 11 inches and the width = 13 inches.
The length and width have different numbers, so the given figure is a rectangle.
Area of a rectangle = length * width
Area of the figure = 11*13
= 143 square inches
The unit for the area is "square"
The units are given in inches, therefore, it is 143 square inches.
Complete the sentence using one of the words below in 10/6 the 10 is the
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The table shows the steps for solving the given inequality for x.
−3(4−6x)
Select the reason for each step from the drop-down menus.
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- 3 (4 - 6x) < x + 5
- 12 + 18x < x + 5 distributive property (to solve the left side)
-12 + 17x < 5 subtraction property of equality (to transpose x
from right to left side)
subtraction of like terms (18x - x = 17x)
17x < 17 addition property of equality (to tranpose - 12
from left to right side)
addition of like terms (12 + 5 =17)
x < 1 division property of equality
Answer:step justification
- 3 (4 - 6x) < x + 5
- 12 + 18x < x + 5 distributive property (to solve the left side)
-12 + 17x < 5 subtraction property of equality (to transpose x
from right to left side)
subtraction of like terms (18x - x = 17x)
17x < 17 addition property of equality (to tranpose - 12
from left to right side)
addition of like terms (12 + 5 =17)
x < 1 division property of equality
Step-by-step explanation:
Simplify 3 + c (8n + 4) + 9n
A. 49n + 20
B. 3+33n
C. 25n + 11
D. 19n + 7
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Sampling is ordinarily used when the number of items comprising the population is relatively small.
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I don't get why price(max)=$80
Can someone help me
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as a matter of elasticity, if you sell 100 popsicles for $1, you get a revenue of $100.
However, if your price goes to $5 per popsicle, then folks will begin to find it too expensive and won't be buying 100, but just 15, so, even though $5 is a higher price, 5 * 15 is a much smaller revenue than 1 * 100.
2x^5+12x^4+16x^3-12x^2-18x=0
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what square root lies between 17 and 18
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if x is the number
sqrt x is between 17 and 18
17<√x<18
squaer the whole thing
289x could be 300
it could be sqrt of 300
√300=10√3
one is 10√3
what's the closest number to 27.8 * 9.8
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Closest whole number = 272.
Use addition to simplify the expression 6/x+6/3x . show all the steps necessary to write the expression with a common denominator and to simplify the expression
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we write 6/x as 18/3x So we have
18/3x + 6 /3x = 24/3x
simplifyiby dividing numerator and denominator by 3:-
Answer is 8/x
tep 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________
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I hope this helps love! :)
If each weighs 2/3 pound, how many potatoes are there in a 50-pound case?
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The number of potatoes that are there in a 50-pound case are 75 potatoes.
In Mathematics and Euclidean Geometry, an expression simply refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).
Since each potato weighs 2/3 pound, the number of potatoes that are there in a 50-pound case can be modeled by the following expression;
Number of potatoes = 50 ÷ 2/3
Number of potatoes = 50 × 3/2
Number of potatoes = 150/2
Number of potatoes = 75 potatoes.
Verify the identity Cotx/tanx+cotx = 1-sin^2x
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[tex]\bf \cfrac{\frac{cos(x)}{sin(x)}}{\frac{1}{cos(x)sin(x)}}\implies \cfrac{cos(x)}{\underline{sin(x)}}\cdot \cfrac{cos(x)\underline{sin(x)}}{1}\implies cos^2(x)\implies 1-sin^2(x)[/tex]
Find the maximum and minimum values of the function.
y=7cosx
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So maximum of 7 cos x = 7 and minimum is -7.
What is the number 0.093 expressed in Scientific notation?
A. 9.3 * 10^2
B. 0.93 * 10^1
C. 9.3 * 10^-3
D. 9.3 * 10^-2
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=
9.3 x 10^-2
answer
D. 9.3 * 10^-2
Option D is correct. 0.093 can be expressed in scientific notation as [tex]9.3 \times 10^{-2}[/tex].
To express the number 0.093 in scientific notation, we need to determine the coefficient and exponent.
0.093 can be written as 9.3 multiplied by a power of 10.
Since 0.093 is less than 1, the exponent should be negative.
To shift the decimal point to the right to form the original number, we move it three places to the right:
[tex]0.093 \rightarrow 9.3 \times 10^{-2}[/tex]
Therefore, 0.093 can be expressed in scientific notation as [tex]9.3 \times 10^{-2}[/tex], option D is correct.
To learn more on Number system click:
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Suppose △DEF≅△MNO.
Which congruency statement is true?
A) DF≅NO
B) DE≅MN
C) EF≅MN
D) EF≅MO
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When triangles are congruent, their corresponding sides and angles are the same. Hence in congruent triangles △DEF and △MNO, side DF is congruent to side MN, thus option B) DE≅MN is the correct answer.
Explanation:In the case of congruent triangles, the corresponding sides and angles are essentially the same. Therefore, we must match up the corresponding sides. A correct statement would be that side DF, from the first triangle, is congruent to side MN, from the second triangle. Hence the correct option is B) DE≅MN.
Additionally, DE would be congruent to MN, and EF would be congruent to NO, completing the congruence between triangles △DEF and △MNO.
Learn more about Congruent Triangles here:https://brainly.com/question/22062407
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Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weight of the carrots she bought is 28 kilograms. How many kilograms of carrots will Jennifer get ?
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28/4=7
Y=2x^2-x-10 write in intercept form
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x-intercept: Let y = 0 and solve for x.
Then 0 = 2x^2 - x - 10. a=2, b= -1 and c = -10.
-(-1) plus or minus sqrt[ (-1)^2 - 4(2)(-10)
Then x = ------------------------------------------------------------
2(2)
1 plus or minus sqrt(81) 1 plus or minus 9
x = ----------------------------------- = ---------------------------
4 4
Calculate the 2 x-values. Let's call them "a" and "b." Then the x-intercepts (there are 2) are
(a, 0) and (b, 0)
A new iPhone user receives an average of 4.2 phone calls per hour. The calls occur randomly in time so if X = the number of calls received in an hour, then we can assume that X has a Poisson distribution with parameter λ = 4.2. Let Y = the number of phone calls received in a day. Assume all necessary independence in the following.
a. Y also has a Poisson distribution. What is the λ for Y?
b. What is the standard deviation of X?
c. What is the standard deviation of Y?
d. What is the probability that no calls are received in an hour?
e. What is the probability that more than 120 calls are received in a day?
f. What is the probability that Y is between 90 and 110 inclusive? (i.e. 90 ≤ Y≤110)
g. What is the variance of square root of 2Y?
h. Assume this distribution holds for all hours and days and that one call is independent from another. What is the probability that 120 or fewer calls are received for every day of this week? (Assume appropriate independence
Add any comments below.
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Given that Y is the number of phone calls received in a day and that a new iPhone user receives an average of 4.2 phone calls per hour.
Thus, the average number of phone calls received in a day is 4.2 * 24 = 100.8
Therefore, the λ for Y is 100.8
Part B:
The standard deviation of a Poisson distribution is given by
[tex]\sigma=\sqrt{\lambda}[/tex]
Thus, the standard deviation of X is given by
[tex]\sigma=\sqrt{4.2}=2.05[/tex]
Therefore, the standard deviation of X is 2.05.
Part C:
The standard deviation of Y is given by
[tex]\sigma=\sqrt{100.8}=10.04[/tex]
Therefore, the standard deviation of X is 10.04.
Part D:
The probability of a Poisson distribution is given by
[tex]P(X=x)=e^{-\lambda} \frac{\lambda^x}{x!} [/tex]
where, x is the number of occurence of the event in the given period.
Thus, the probability that no calls are received in an hour is given by
[tex]P(X=0)=e^{-4.2} \frac{(4.2)^0}{0!} =0.015[/tex]
Therefore, the probability that no calls are received in an hour is 0.015
Part E:
We approximate the Poisson distribution using Normal distribution by noting that for a Poisson distribution
[tex]\mu=\lambda \\ \\ \sigma^2=\lambda \\ \\ \sigma=\sqrt{\lambda}[/tex]
The probability of a normal distribution is given by
[tex]P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)[/tex]
Thus, the probability that more than 120 calls are received in a day is given by
[tex]P(X\ \textgreater \ 120)=1-P(X\leq120) \\ \\ =1-P\left(z\leq \frac{120-100.8}{10.04} \right)=1-P(z\leq1.912) \\ \\ =1-0.97208=0.0279[/tex]
Therefore, the probability that more than 120 calls are received in a day is 0.0279
Part F:
We also approximate this using Normal distribution
The probability of a normal distribution between two value (a, b) is given by
[tex]P(a\ \textless \ X\ \textless \ b)=P\left(z\ \textless \ \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]
Thus, the probability that Y is between 90 and 110 inclusive is given by
[tex]P(90\leq X\leq 110)=P\left(z\leq \ \frac{110-100.8}{10.04} \right)-P\left(z\leq \frac{90-100.8}{10.04} \right) \\ \\ =P(z\leq0.916)-P(-1.076)=0.82025-0.14103=0.67922[/tex]
Therefore, the probability that Y is between 90 and 110 is 0.67922
Part G:
The variance of aY is given by
[tex]Var(aY)=a^2Var(Y)[/tex]
Thus, the variance of [tex] \sqrt{2} Y[/tex] is given by
[tex]Var( \sqrt{2} Y)=( \sqrt{2} )^2Var(Y)=2(100.8)=201.6[/tex]
Therefore, the variance of [tex] \sqrt{2} Y[/tex] is 201.6
Part H:
We approximate this using Normal distribution
The probability of a normal distribution is given by
[tex]P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)[/tex]
Thus, the probability that 120 or fewer calls are received in a day is given by
[tex]P(X\leq120)=P\left(z\leq \frac{120-100.8}{10.04} \right) \\ \\ =P(z\leq1.912)=0.97208[/tex]
Since, this distribution holds for all hours and days and one call is independent from another. Assuming that there are seven days in a week.
The probability that 120 or fewer calls are received for every day of this week is given by
[tex](0.97208)^7=0.8202[/tex]
Therefore, the probability that 120 or fewer calls are received for every day of this week is 0.8202
Two pounds of bananas cost $1.16 what would be the cost of 5pounds s of bananas
Answers
0.58 * 5 = 2.9
So 5 lb of bananas will cost $2.90.
Hope this helps!
the sum of 2 3/5 + (-1/5) write in simplest form